diff --git a/Pending/Berkeley/StewCalcET7e/3.9/3.9.rescue1.pg b/Pending/Berkeley/StewCalcET7e/3.9/3.9.rescue1.pg new file mode 100644 index 0000000000..3aa971696d --- /dev/null +++ b/Pending/Berkeley/StewCalcET7e/3.9/3.9.rescue1.pg @@ -0,0 +1,63 @@ +#DESCRIPTION +## Calculus: Related rates +##ENDDESCRIPTION + + +## DBsubject(Calculus - single variable) +## DBchapter(Applications of differentiation) +## DBsection(Related rates) +## Date(11/29/2010) +## Institution(University of Minnesota) +## Author(Justin Sukiennik) +## MO(1) +## TitleText1('Calculus: Concepts and Contexts') +## AuthorText1('Stewart') +## EditionText1('4 Custom UMTYMP Ed.') +## Section1('4.1') +## Problem1('30') +## KEYWORDS('calculus', 'derivative', 'related rates') +# +# (This was UMN/calculusStewartCCC/s_4_1_30.pg) + +##################################################################### +DOCUMENT(); # This should be the first executable line in the problem. + +loadMacros( + "PGstandard.pl", + "MathObjects.pl", + "answerHints.pl", + "PGcourse.pl", +); +##################################################################### + +TEXT(beginproblem()); + +$showPartialCorrectAnswers = 1; + +##################################################################### + +Context("Numeric"); + +$a = random(50,100,25); +$b = random(2,8,2); +$c = random(150,300,50); + +$ans = Compute("($a/$c^2)*$b"); + +##################################################################### + +Context()->texStrings; +BEGIN_TEXT +A kite \($a\text{ft}\) above the ground moves horizontally at a speed of \($b\text{ft/s}.\) At what rate is the angle between the string and the horizontal decreasing when \($c\text{ft}\) of string has been let out? +$PAR +Answer (in radians per second): \{ans_rule(30)\} +END_TEXT +Context()->normalStrings; + +##################################################################### + +ANS($ans->cmp(showTypeWarnings=>0)->withPostFilter(AnswerHints(Compute("-$ans") => ["The problem is asking how fast the angle between the string and the horizontal is decreasing. So the answer should be positive."]))); + +COMMENT('Uses MathObjects.'); + +ENDDOCUMENT(); # This should be the last executable line in the problem.